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Finding the Fourth Proportional to 39.66, 54.75 and 29.97

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Solution

The fourth proportional to 39.66, 54.75 and 29.97 is: 41.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 54.75 = 29.97 : x
  2. Step 2: Convert to fraction form
    39.66/54.75 = 29.97/x
  3. Step 3: Cross multiply
    39.66x = 54.75 × 29.97
  4. Step 4: Simplify right side
    39.66x = 1,640.86
  5. Step 5: Solve for x
    x = 1,640.86/39.66
  6. Step 6: Final answer
    x = 41.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.